Rayleigh′s, Stoneley′s, and Scholte′s Interface Waves in Elastic Models Using a Boundary Element Method

Flores-Mendez, Esteban; Carbajal-Romero, Manuel; Flores-Guzmán, Norberto; Sánchez-Martínez, R.; Rodríguez-Castellanos, Alejandro

doi:10.1155/2012/313207

Cited by 16 publications

(6 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Finally, it is important to point out that the computing of dispersion curves in figure 2 is worth to discuss, given the fact it is not easy to obtain the smooth curves with known material properties from equation (27) if exponential functions would be used. In the beginning, it surprised us that the computation was not successful even with the checked and validated formulation.…”

Section:  mentioning

confidence: 99%

An analysis of axisymmetric Sezawa waves in elastic solids

Bian¹,

Wang²,

Huang³

et al. 2021

Phys. Scr.

View full text Add to dashboard Cite

The wave propagation in elastic solids covered by a thin layer has received significant attention due to the existence of Sezawa waves in many applications such as medical imaging. With a Helmholtz decomposition in cylindrical coordinates and subsequent solutions with Bessel functions, it is found that the velocity of such Sezawa waves is the same as the one in Cartesian coordinates, but the displacement will be decaying along the radius with eventual conversion to plane waves. The decaying with radius exhibits a strong contrast to the uniform displacement in the Cartesian formulation, and the asymptotic approximation is accurate in the range about one wavelength away from the origin. The displacement components in the vicinity of origin are naturally given in Bessel functions which can be singular, making it more suitable to analyze waves excited by a point source with solutions from cylindrical coordinates. This is particularly important in extracting vital wave properties and reconstructing the waveform in the vicinity of source of excitation with measurement data from the outer region.

show abstract

Section:  mentioning

confidence: 99%

An analysis of axisymmetric Sezawa waves in elastic solids

Bian¹,

Wang²,

Huang³

et al. 2021

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…Among the mechanical waves, the most technologically attractive are those known as interfacial waves, which emerge at the interface of two media due to the coupling of both shear and compression waves [8]. The characteristics of this type of waves, which in turn make them easy to detect, are: a) they rapidly decay in-depth, b) they propagate parallel to the interface between two media, c) they have the largest amplitude, and d) they decay more slowly than body waves.…”

Section: Introductionmentioning

confidence: 99%

Analytical solution to Scholte’s secular equation for isotropic elastic media

Antúnez-García¹,

Galván²,

Guerrero-Sánchez³

et al. 2021

Rev. Mex. Fís.

View full text Add to dashboard Cite

In terms of a method based on Cauchy integrals, we have obtained a robust analytic expression to predict a unique physical solution for the Scholte slowness in all range of possible elastic and isotropic media. Proper analysis of the discontinuities of the secular Scholte equation allows the identification of the velocity of the evanescent wave in one of three possible regimes. When the liquid phase tends to vanish, it was observed: a) the Rayleigh wave solution or the free surface limit, and b) the rarefied fluid medium limit, where there exists a gradual extinction of the Scholte wave as both the density and velocity of the fluid decrease. In general terms, the results show that the propagation speed of a Scholte wave is less than or equal to that of a Rayleigh wave.

show abstract

“…These interface waves, propagating along the seafloor, are called Scholte waves and have peculiar characteristics in respect with the body waves, since they have low velocities, low frequencies, and a high degree of polarization (i.e., Rauch, 1986;Zhang et al, 2013). The energy of this type of waves is concentrated at the water-sediments interface and becomes dispersive with depth due to the occurrence of several wave modes because of changes in the sediment properties (i.e., Flores-Mendez et al, 2012;Johansen and Ruud, 2020). Clearly, the occurrence of Scholte waves could represent a real problem in seismic data processing and interpretation because they can completely mask deeper reflections (Zheng et al, 2012).…”

Section: Introductionmentioning

confidence: 99%

Integrated Geophysical Analyses of Shallow-Water Seismic Imaging With Scholte Wave Inversion: The Northern Adriatic Sea Case Study

et al. 2020

View full text Add to dashboard Cite

The integrated analysis using different seismic wave types in a record is a very efficient approach for a comprehensive characterization of marine sediments, especially in shallow water conditions. The proposed integrated method to analyze seismic data in post-critical conditions consists of: 1) the inversion of Scholte waves to obtain a reliable Vs distribution of the near seafloor; 2) pre-processing of seismic data; 3) construction of the P-wave velocity field by using all available information, including available well data; and 4) the application of the wave equation datuming and post-processing, such as pre-stack time migration. We demonstrate how this approach could be successfully applied on seismic datasets characterized by post-critical conditions and the occurrence of the Scholte waves, which may be exploited to provide fundamental information instead of being only an unwanted effect. The integrated analysis of seismic events can thus help, together with data processing, by providing better seismic imaging, which is a priority for a reliable seismostratigraphic interpretation.

show abstract

Rayleigh′s, Stoneley′s, and Scholte′s Interface Waves in Elastic Models Using a Boundary Element Method

Cited by 16 publications

References 26 publications

An analysis of axisymmetric Sezawa waves in elastic solids

An analysis of axisymmetric Sezawa waves in elastic solids

Analytical solution to Scholte’s secular equation for isotropic elastic media

Integrated Geophysical Analyses of Shallow-Water Seismic Imaging With Scholte Wave Inversion: The Northern Adriatic Sea Case Study

Contact Info

Product

Resources

About